Rant warning-
The lack of an industry standard for light (or reflector) mounts is really too bad. It's one area that has suffered from the need to be brand/model/propriety specific (due likely to liability issues, IMO) that has swept the lighting segment over the last couple of decades. There was a time that the "2 holes, of 1/4" diameter, 1" apart" was the way this was done. One could use just about any reflector or light on any common bracket. The first, and wildly successful, Vista light (the mother of flashing LED tail lights) was made to mount this way.
But now lights have almost but not quite "belt clip" designs and brackets with a lack of solid attachments or adjustments. Even with the correct mount a slid in clip light will have some rattle often.
Here's two rear light mount solutions, both using the Paul type mount "peg" and how I run head lights on one of my bikes. Andy